论文标题
在镜面反射边界条件下具有外部磁场的稀疏气体动力学
Rarefied gas dynamics with external fields under specular reflection boundary condition
论文作者
论文摘要
我们考虑具有镜面反射边界条件的严格凸域中外部场的玻尔兹曼方程。在假设外部字段为$ c^2 $的假设下，我们构建了经典的$ c^1 $解决方案，而该字段的正常衍生物是正面的，并且从$ 0 $限制。
We consider the Boltzmann equation with external fields in strictly convex domains with the specular reflection boundary condition. We construct classical $C^1$ solutions away from the grazing set under the assumption that the external field is $C^2$ and the normal derivative of the field is positive and bounded away from $0$.
